82585971 has 12 divisors (see below), whose sum is σ = 128467248. Its totient is φ = 50822064.

The previous prime is 82585967. The next prime is 82585973. The reversal of 82585971 is 17958528.

It is a happy number.

82585971 is a `hidden beast` number, since 8 + 2 + 58 + 597 + 1 = 666.

It is not a de Polignac number, because 82585971 - 2² = 82585967 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82585973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352815 + ... + 353048.

It is an arithmetic number, because the mean of its divisors is an integer number (10705604).

Almost surely, 2^82585971 is an apocalyptic number.

82585971 is a deficient number, since it is larger than the sum of its proper divisors (45881277).

82585971 is a wasteful number, since it uses less digits than its factorization.

82585971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705882 (or 705879 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The square root of 82585971 is about 9087.6823778123. The cubic root of 82585971 is about 435.4805470231.

The spelling of 82585971 in words is "eighty-two million, five hundred eighty-five thousand, nine hundred seventy-one".